I am newly experiencing this as well. I've just moved my family into a new home, bringing all their books and items in fridge. Cannot drag book to bookshelf from sims inventory. Cannot drag items to fridge including, cooked meals, fresh fish, fresh produce, honey, jams, meat cubes, beetle nuggets, flour, etc. Photos dragged to frames work, but only one by one rather than a stack (in the case of the moschino digital photo frame.)
I had simple living and off-the grid lot traits active but disabled with no change. Previously was living in a Tier 1 tiny home with a small business. New home is a residential rental. I'm on PC and had mods but doesn't work with them removed either.
Edit: After repairing game and launching without mods, I replaced both fridge and bookshelf with a new one from B/B (same style) and they regained their drag/drop functionality as intended.